Abstract
We present a model where it is possible to generate cosmologically large domains of matter and antimatter separated by cosmologically large distances. Domain walls existed only in the early universe and later they disappeared. So the problem of domain walls in this model does not exist. These features are achieved through a postulated form of interaction between inflaton and a new scalar field. This scenario inspired a study of the related problem - evolution of the domain wall width in expanding universe. According to classical results there is a region of parameter space where the solutions with constant physical width exist. Numerical study of the problem demonstrates that initial configurations tend to these solutions with time. However, we have found that the wall width can grow exponentially outside of that parameter region.
Highlights
As far as we know, our local cosmological neighborhood is made of baryons, while fraction of antimatter is vanishingly small
The suggested model of baryogenesis may lead to baryo-symmetric universe with cosmologically large domains of matter and antimatter, avoiding the domain wall problem
Breaking of charge symmetry is due to a scalar field χ, which is not completely relaxed down to equilibrium by the end of the baryogenesis
Summary
As far as we know, our local cosmological neighborhood is made of baryons, while fraction of antimatter is vanishingly small It looks like the universe is 100% baryo-asymmetric (at least locally). If a model is based on the unusual symmetry behavior at high temperatures, the size of domains will be too small from the cosmological point of view. Domains with different sign of CP disappear so the domain wall problem is absent They appeared during inflation and survived at the baryogenesis epoch, cosmologically large domains of matter and antimatter could be created. The scenario described above inspired the consideration of the related problem: is it possible for the domain wall width to grow fast enough in the inflationary universe?
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